Home
Class 12
MATHS
The ten's digit of 1!+2!+3!+ . . .+97! i...

The ten's digit of `1!+2!+3!+ . . .+97!` is

Text Solution

Verified by Experts

The correct Answer is:
1

For `n ge 10`, the number of zeros in `n! ge2`
`therefore1!+2!+31+4!+ . . .+97!= . . 13`
`therefore`Ten's digit=1
Promotional Banner

Similar Questions

Explore conceptually related problems

How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

How many four digit numbers divisible by 4 can be made with the digit 1, 2, 3, 4, 5, 6. If the repetition of the digit is not allowed ?

How many 2 digit even numbers can be formed from the digits 1, 2, 3, 4, 5 if the digits can be repeated?

How many 4-digit number can be formed with the digit 1, 2, 3, 4, 6 and 8 if repetition of digits is not allowed.

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?

How many four-digit numbers can be formed by using the digits 1, 2, 3, 4, 5, 6, 7 if at least one digit is repeated.

Using the digit 1, 2, 3, 4, 5, 6, and 7, a number of 4 different digit is formed find,

How many three-digit numbers can be made using the digits 0, 1, 2, …, 9, if no digit is repeated ?

How many numbers lying between 100 and 1000 can be formed with the digits 0, 1, 2, 3, 4, 5, if the repetition of the digits is not allowed?

The digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 are written in random order to form a nine digit number.Let p be the probability that this number is divisible by 36, find 9p.